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Fully conservative, skew‐symmetric finite difference schemes for compressible flows on distorted grids
Author(s) -
Reiss Julius,
Sesterhenn Jörn
Publication year - 2011
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201110381
Subject(s) - skew , compressibility , symmetry (geometry) , momentum (technical analysis) , finite difference , conservation law , scheme (mathematics) , physics , classical mechanics , rotational symmetry , mathematical analysis , mathematics , finite difference method , mechanics , geometry , finance , astronomy , economics
We present a fully conservative finite difference scheme for the compressible Navier‐Stokes equations. Due to its skew‐symmetry in the momentum equation it is possible to have no physical or artificial damping. Therefore it is especially suited for simulations of configurations where perfect conservation is needed along with low damping. (© 2011 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)